“Viviani's Curve”的概念、定义、习题解题方法及翻译-数学辞典

单词

Viviani's Curve

释义

Viviani's Curve

The Space Curve giving the intersection of the Cylinder

(1)

and the Sphere

(2)

It is given by the parametric equations

The Curvature and Torsion are given by

			(6)
			(7)

See also Cylinder, Sphere, Steinmetz Solid

References

Gray, A. ``Viviani's Curve.'' §7.6 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 140-142, 1993.

von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 270, 1993.

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